42006628145664
42,006,628,145,664 is an even composite number composed of seven prime numbers multiplied together.
42006628145664 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 42006628145664:
29 × 33 × 7 × 132 × 23 × 29 × 3851
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 13 × 13 × 23 × 29 × 3851)See below for interesting mathematical facts about the number 42006628145664 from the Numbermatics database.
Names of 42006628145664
- Cardinal: 42006628145664 can be written as Forty-two trillion, six billion, six hundred twenty-eight million, one hundred forty-five thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 4.2006628145664 × 1013
Factors of 42006628145664
Divisors of 42006628145664
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 23 24 26 27 28 29 32 36 39 42 46 48 52 54 56 58 63 64 69 72 78 84 87 91 92 96 104 108 112 116 117 126 128 138 144 156 161 168 169 174 182 184 189 192 203 207 208 216 224 232 234 252 256 261 273 276 288 299 312 322 336 338 348 351 364 368 377 378 384 406 414 416 432 448 464 468 483 504 507 512 522 546 552 576 598 609 621 624 644 667 672 676 696 702 728 736 754 756 768 783 812 819 828 832 864 896 897 928 936 966 1008 1014 1044 1092 1104 1131 1152 1183 1196 1218 1242 1248 1288 1334 1344 1352 1392 1404 1449 1456 1472 1508 1512 1521 1536 1566 1624 1638 1656 1664 1728 1792 1794 1827 1856 1872 1932 2001 2016 2028 2088 2093 2184 2208 2262 2304 2366 2392 2436 2457 2484 2496 2576 2639 2668 2688 2691 2704 2784 2808 2898 2912 2944 3016 3024 3042 3132 3248 3276 3312 3328 3393 3456 3549 3584 3588 3654 3712 3744 3851 3864 3887 4002 4032 4056 4176 4186 4347 4368 4416 4524 4563 4608 4669 4732 4784 4872 4901 4914 4968 4992 5152 5278 5336 5376 5382 5408 5481 5568 5616 5796 5824 5888 6003 6032 6048 6084 6264 6279 6496 6552 6624 6656 6786 6912 7098 7176 7308 7424 7488 7702 7728 7774 7917 8004 8064 8073 8112 8352 8372 8671 8694 8736 8832 9048 9126 9338 9464 9568 9744 9802 9828 9936 9984 10179 10304 10556 10647 10672 10752 10764 10816 10962 11136 11232 11553 11592 11648 11661 11776 12006 12064 12096 12168 12528 12558 12992 13104 13248 13572 13824 14007 14196 14352 14616 14703 14848 14976 15404 15456 15548 15834 16008 16128 16146 16224 16704 16744 17342 17388 17472 17664 18009 18096 18252 18676 18837 18928 19136 19488 19604 19656 19872 19968 20358 20608 21112 21294 21344 21528 21632 21924 22272 22464 23106 23184 23296 23322 23751 24012 24128 24192 24336 25056 25116 25984 26013 26208 26496 26957 27144 27209 28014 28392 28704 29232 29406 29952 30808 30912 31096 31668 31941 32016 32256 32292 32448 33408 33488 34307 34659 34684 34776 34944 34983 35328 36018 36192 36504 37352 37674 37856 38272 38976 39208 39312 39744 40716 41216 42021 42224 42588 42688 43056 43264 43848 44109 44544 44928 46212 46368 46592 46644 47502 48024 48256 48384 48672 50063 50112 50232 51968 52026 52416 52992 53914 54288 54418 56028 56511 56784 57408 58464 58812 59904 60697 61616 61824 62192 63336 63882 64032 64584 64896 66816 66976 68614 69318 69368 69552 69888 69966 71253 72036 72384 73008 74704 75348 75712 76544 77952 78039 78416 78624 79488 80871 81432 81627 82432 84042 84448 85176 85376 86112 86528 87696 88218 88573 89856 92424 92736 93288 95004 96048 96512 96768 97344 100126 100224 100464 102921 103936 103977 104052 104832 104949 105984 107828 108576 108836 111679 112056 112723 113022 113568 114816 116928 117624 121394 123232 123648 124384 126063 126672 127764 128064 129168 129792 132327 133632 133952 137228 138636 138736 139104 139776 139932 142506 144072 144768 146016 149408 150189 150696 151424 153088 155904 156078 156832 157248 158976 161742 162864 163254 168084 168896 170352 170752 172224 175392 176436 177146 179712 182091 184848 185472 186576 190008 192096 193024 194688 200252 200448 200928 205842 207954 208104 209664 209898 215656 217152 217672 223358 224112 225446 226044 227136 229632 233856 234117 235248 242613 242788 244881 246464 247296 248768 252126 253344 255528 256128 258336 259584 264654 265719 267904 274456 277272 277472 278208 279864 285012 288144 289536 292032 298816 300378 301392 302848 308763 311808 312156 313664 314496 317952 323484 325728 326508 335037 336168 337792 338169 340704 341504 344448 350441 350784 352872 354292 364182 369696 370944 373152 380016 384192 389376 400504 400896 401856 411684 415908 416208 419328 419796 431312 434304 435344 446716 448224 450567 450892 452088 454272 459264 467712 468234 470496 485226 485576 489762 492928 497536 504252 506688 511056 512256 516672 529308 531438 535808 546273 548912 554544 554944 556416 559728 570024 576288 579072 584064 597632 600756 602784 605696 617526 620011 624312 627328 628992 646968 650819 651456 653016 670074 672336 675584 676338 681408 688896 700882 701568 705744 708584 727839 728364 734643 739392 741888 746304 760032 768384 778752 781753 789061 797157 801008 803712 823368 831816 832416 839592 862624 868608 870688 893432 896448 901134 901784 904176 908544 926289 935424 936468 940992 970452 971152 979524 985856 995072 1005111 1008504 1013376 1014507 1022112 1024512 1033344 1051323 1058616 1062876 1071616 1092546 1097824 1109088 1109888 1112832 1119456 1140048 1151449 1152576 1168128 1195264 1201512 1205568 1235052 1240022 1248624 1254656 1257984 1293936 1301638 1302912 1306032 1340148 1344672 1351168 1351701 1352676 1362816 1377792 1401764 1403136 1411488 1417168 1451827 1455678 1456728 1469286 1478784 1492608 1520064 1536768 1563506 1578122 1594314 1602016 1607424 1638819 1646736 1663632 1664832 1679184 1725248 1737216 1741376 1786864 1792896 1802268 1803568 1808352 1817088 1852578 1860033 1872936 1881984 1940904 1942304 1952457 1959048 1971712 1990144 2010222 2017008 2026752 2029014 2044224 2066688 2102646 2117232 2125752 2185092 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124217856 124356492 124957248 125379072 128654208 128962288 129856896 132116257 133568084 133922376 134569344 134719533 136048128 138705318 139375392 139845888 140576904 143842552 145082574 145783456 147385472 150096576 150990008 151390512 151499712 153054144 156797316 158086656 158722816 161822871 162604624 164006388 164391488 165808656 166609664 168858648 169863759 170437176 171538944 173017728 173142528 178563168 179425792 179626044 182930202 184940424 185833856 186326784 187435872 188068608 192981312 193443432 194785344 200128768 200352126 201854016 201999616 204072192 209063088 209563718 209768832 215763828 217623861 218675184 221078208 225144864 226485012 227249568 230690304 233744147 237129984 238084224 239501392 243906936 246009582 246587232 248712984 249914496 257308416 257924576 259713792 264232514 267136168 267844752 269138688 269439066 274395303 277410636 278750784 279691776 281153808 287685104 290165148 291566912 294770944 300193152 300528189 301980016 302781024 302999424 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6706038976 6904442496 6945540368 6963963552 6997605888 7134277878 7212676536 7247520384 7479812704 7544293848 7664044544 7767497808 7805021952 7813732914 7872306624 7958815488 8153460432 8414789292 8455440448 8548357376 8571032064 8622050112 8780649696 8877140352 8996921856 9116021733 9205923328 9285284736 9512370504 9616902048 9663360512 10035028224 10059058464 10356663744 10418310552 10496408832 10806953472 10871280576 10907979264 11219719056 11316440772 11496066816 11707532928 11720599371 11836187136 12154695644 12380379648 12622183938 12683160672 12822536064 12933075168 13412077952 13808884992 13891080736 13927927104 14268555756 14425353072 14495040768 14959625408 15088587696 15534995616 15610043904 15627465828 15744613248 15917630976 16306920864 16829578584 16910880896 17096714752 17244100224 17561299392 17754280704 18232043466 18570569472 19024741008 19233804096 20070056448 20118116928 20713327488 20836621104 20992817664 21742561152 22439438112 22632881544 22992133632 23415065856 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130455366912 134636628672 140490395136 145856347728 152197928064 153870432768 160944935424 164088391194 166692968832 179515504896 181063052352 187529589936 194475130304 201954943008 202930570752 206929202688 218784521592 222257291776 228296892096 230805649152 241417403136 248559929856 250039453248 260910733824 269273257344 291712695456 304395856128 328176782388 333385937664 359031009792 362126104704 375059179872 388950260608 403909886016 437569043184 456593784192 461611298304 482834806272 500078906496 538546514688 583425390912 608791712256 656353564776 666771875328 724252209408 750118359744 777900521216 807819772032 875138086368 913187568384 1000157812992 1077093029376 1166850781824 1312707129552 1448504418816 1500236719488 1555801042432 1615639544064 1750276172736 1826375136768 2000315625984 2333701563648 2625414259104 3000473438976 3231279088128 3500552345472 4667403127296 5250828518208 6000946877952 7001104690944 10501657036416 14002209381888 21003314072832 42006628145664
- Sum of all divisors σ(n): 166148137267200
- Sum of proper divisors (its aliquot sum) s(n): 124141509121536
- 42006628145664 is an abundant number, because the sum of its proper divisors (124141509121536) is greater than itself. Its abundance is 82134880975872
Bases of 42006628145664
- Binary: 10011000110100011011100010011000011010000000002
- Hexadecimal: 0x26346E261A00
- Base-36: EW1KTTHC0
Squares and roots of 42006628145664
- 42006628145664 squared (420066281456642) is 1764556808168090943202000896
- 42006628145664 cubed (420066281456643) is 74123081682616760626252379644514946514944
-
The
square root of 42006628145664 is 6481252.0507741403 -
The
cube root of 42006628145664 is 34762.0948932341
Scales and comparisons
How big is 42006628145664?- 42,006,628,145,664 seconds is equal to 1,335,680 years, 43 weeks, 4 days, 18 hours, 14 minutes, 24 seconds.
-
To count from 1 to 42,006,628,145,664 would take you about three million, three hundred thirty-nine thousand, two hundred two years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 42006628145664 cubic inches would be around 2896.8 feet tall.
Recreational maths with 42006628145664
- 42006628145664 backwards is 46654182660024
- 42006628145664 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42006628145664's digits is 54
- More coming soon!
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"Number 42006628145664 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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Numbermatics. (2024). Number 42006628145664 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/42006628145664/
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The information we have on file for 42006628145664 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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